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Finding the Third Proportional to 848,625,817 and 1,267,712,646

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Solution

The third proportional to 848,625,817 and 1,267,712,646 is: 1,893,762,033.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,625,817 : 1,267,712,646 = 1,267,712,646 : x
  2. Step 2: Convert to fraction form
    848,625,817/1,267,712,646 = 1,267,712,646/x
  3. Step 3: Cross multiply
    848,625,817x = 1,267,712,646 × 1,267,712,646
  4. Step 4: Simplify right side
    848,625,817x = 1,607,095,352,828,321,280
  5. Step 5: Solve for x
    x = 1,607,095,352,828,321,280/848,625,817
  6. Step 6: Final answer
    x = 1,893,762,033.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.